document.write( "Question 151855: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized.
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Algebra.Com's Answer #111640 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! For this Jenny decides to keep a side of the triangular area 6 feet shorter and the other 5 feet longer than the third side. She also wants to restrict the perimeter of the triangle area to 29 feet, so that it does not cover a huge area of the garden. Determine the length of each side of the triangular area that Jenny has visualized \n" ); document.write( ": \n" ); document.write( "Let x = the length of the 3rd side \n" ); document.write( ": \n" ); document.write( "It says: \n" ); document.write( "\"One side is 6 ft shorter than the 3rd side\" write it; \n" ); document.write( " (x - 6) \n" ); document.write( "and \n" ); document.write( "\"one side is 5 ft longer than the 3rd side\": write it: \n" ); document.write( " (x+5) \n" ); document.write( "; \n" ); document.write( "Perimeter = 29 ft, therefore: \n" ); document.write( "x + (x-6) + (x+5) = 29 \n" ); document.write( "3x - 6 + 5 = 29 \n" ); document.write( "3x - 1 = 29 \n" ); document.write( "3x = 29 + 1 \n" ); document.write( "x = \n" ); document.write( "x = 10 ft is the 3rd side \n" ); document.write( ": \n" ); document.write( "One side: 10-6 = 4 ft \n" ); document.write( "and \n" ); document.write( "Another side: 10+5 = 15 ft \n" ); document.write( "; \n" ); document.write( "Check solutions using the perimeter \n" ); document.write( "10 + 4 + 15 = 29 ft \n" ); document.write( " |